Your income isn't high enough for it to make sense as a rental and the closer you get to your residence limit the greater pressure you will have to sell it before losing your exclusion in whole or part. 500k right now can make $15k per year income with zero maintenance or tenant risks. 

You don't have to sign the agreement, though some state laws require an exclusive contract.

Transferring a property title later could be deemed a taxable gift if it exceeds the annual exclusion ($17,000 for 2024).

Does renting the home while deployed void the eligibility for exclusion of gain, even when the home was lived in/primary residence for 2 of the last 7?  

Even then, the IRS may scrutinize the transaction if it appears the intent was to immediately convert the property into a personal residence.Additionally, if you eventually sell the property after converting it to a primary residence, you may qualify for partial benefits under the Section 121 exclusion for primary residence gains.

Does this mean the realtor does not have exclusive rights to sell the property and the owner is probably advertising the same property on one of those by owner sites?

If someone is willing to live in and renovate the 2 of last 5 year capital gains exclusion is a significant consideration.

Since you’ve shown interest in listing your property with Furnished Finder in the past, we’re offering you an exclusive $45 discount on our annual subscription.

Hi, @Celine BessonI work exclusively to help my out of state investor clients find great deals in the Memphis real estate market. 

That Act did create Section 761(f) for QJVs, but... it does NOT have an exclusion for state entities like LLCs.